Question

any five properties of the cross product

Answer 1

The length of the cross product of two vectors is

The length of the cross product of two vectors is equal to the area of the parallelogram determined by the two vectors (see figure below).

Anticommutativity:

Multiplication by scalars:

Distributivity:

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Answer 2

Answer:

Any five properties of the cross product:-

⬇️The vector product of any two vector is always another vector whose direction is perpendicular to the plane containing these two vectors that auto gondal to both the vector a and b even the letter A and B mayor name not be mutually orthogonal.

⬇️ the vector product of two vectors will have maximum magnitude when sin theta = 1 that when the vectors A and B for anal to each other.

(A × B )max = ABn

Explanation:

⬇️ the vector product of two non zero vectors will be minimum when sin theta equal to zero that theta equal to zero degree for 180 degree.

(A × B)min = 0

⬇️ in the terms of components the vector product of two vectors a and b is

$a \: \times \: b \: = \: |i \ \: \: \: \: j \: \: \: \: \: \: k \: \: \\ \: ax \: \: \: \: \: \: \: \: ay \: \: \: \: \: \: \: \: az \\ bx \: \: \: \: \: by \: \: \: \: \: \: \: \: \: bz|$

⬇️ the cell factor product of unit vectors for thus zero.